A ball is thrown vertically upward with an initial speed of 9.80 meters per second. What is the maximum height the ball will reach?
I need to find the distance (d). But I need the time. How do I calculate the time it will be in the air with a kinematics equation?
Use the equations below
$$0-v=-gt$$
$$d=vt-\frac 12gt^2$$
The first equation finds the time for gravity to decelerate the speed to zero at the highest point, while the second equation is the distance formula.
Then, eliminate time $t$ to get the distance,
$$d=\frac{v^2}{2g}$$